Answer:
The second barrel with height of 25 in and diamter of 36 in will hold the most water
Explanations:
The two barrels are cylindrical in shape
The barrel that will hold the most water is the one with the highest volume
The volume of a cylinder is given by the formula:
[tex]\begin{gathered} V\text{ = }\pi r^2h \\ \text{where r is the radius of the cylinder} \\ h\text{ is the height of the cylinder} \end{gathered}[/tex]
For the barrel with:
height, h = 34 in
diameter, d = 22 in
Radius, r = d/2
r = 22/2 = 11 in
The volume will be:
[tex]\begin{gathered} V\text{ = }\frac{22}{7}\times11^2\times34 \\ V\text{ = }12929.7in^3 \end{gathered}[/tex]
For the barrel with:
height, h = 25 in
diameter, d = 36 in
Radius, r = d/2
r = 36/2 = 18 in
The volume will be:
[tex]\begin{gathered} V\text{ = }\frac{22}{7}\times18^2\times25 \\ V\text{ = }25457.1in^3 \end{gathered}[/tex]
Since the volume of the second barrel is greater than the volume of the first cylinder, it
will hold more water
